{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2024-08-23T02:52:17.346569Z",
     "start_time": "2024-08-23T02:52:16.777369Z"
    }
   },
   "source": [
    "# 导包\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ],
   "outputs": [],
   "execution_count": 1
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-08-23T02:53:47.510224Z",
     "start_time": "2024-08-23T02:53:47.389686Z"
    }
   },
   "cell_type": "code",
   "source": [
    "fig, ax = plt.subplots()  # 创建一个包含一个axes的figure\n",
    "\n",
    "ax.plot([1, 2, 3, 4], [1, 4, 2, 3])  # 绘制图像"
   ],
   "id": "e9963480bf0e0e0",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2cc96a32c88>]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 2
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-08-23T02:55:15.211728Z",
     "start_time": "2024-08-23T02:55:15.180456Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 生成随机数\n",
    "x = np.linspace(0, 100, 1000)\n",
    "print(x)"
   ],
   "id": "5b45a13c22a6179",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[  0.           0.1001001    0.2002002    0.3003003    0.4004004\n",
      "   0.5005005    0.6006006    0.7007007    0.8008008    0.9009009\n",
      "   1.001001     1.1011011    1.2012012    1.3013013    1.4014014\n",
      "   1.5015015    1.6016016    1.7017017    1.8018018    1.9019019\n",
      "   2.002002     2.1021021    2.2022022    2.3023023    2.4024024\n",
      "   2.5025025    2.6026026    2.7027027    2.8028028    2.9029029\n",
      "   3.003003     3.1031031    3.2032032    3.3033033    3.4034034\n",
      "   3.5035035    3.6036036    3.7037037    3.8038038    3.9039039\n",
      "   4.004004     4.1041041    4.2042042    4.3043043    4.4044044\n",
      "   4.5045045    4.6046046    4.7047047    4.8048048    4.9049049\n",
      "   5.00500501   5.10510511   5.20520521   5.30530531   5.40540541\n",
      "   5.50550551   5.60560561   5.70570571   5.80580581   5.90590591\n",
      "   6.00600601   6.10610611   6.20620621   6.30630631   6.40640641\n",
      "   6.50650651   6.60660661   6.70670671   6.80680681   6.90690691\n",
      "   7.00700701   7.10710711   7.20720721   7.30730731   7.40740741\n",
      "   7.50750751   7.60760761   7.70770771   7.80780781   7.90790791\n",
      "   8.00800801   8.10810811   8.20820821   8.30830831   8.40840841\n",
      "   8.50850851   8.60860861   8.70870871   8.80880881   8.90890891\n",
      "   9.00900901   9.10910911   9.20920921   9.30930931   9.40940941\n",
      "   9.50950951   9.60960961   9.70970971   9.80980981   9.90990991\n",
      "  10.01001001  10.11011011  10.21021021  10.31031031  10.41041041\n",
      "  10.51051051  10.61061061  10.71071071  10.81081081  10.91091091\n",
      "  11.01101101  11.11111111  11.21121121  11.31131131  11.41141141\n",
      "  11.51151151  11.61161161  11.71171171  11.81181181  11.91191191\n",
      "  12.01201201  12.11211211  12.21221221  12.31231231  12.41241241\n",
      "  12.51251251  12.61261261  12.71271271  12.81281281  12.91291291\n",
      "  13.01301301  13.11311311  13.21321321  13.31331331  13.41341341\n",
      "  13.51351351  13.61361361  13.71371371  13.81381381  13.91391391\n",
      "  14.01401401  14.11411411  14.21421421  14.31431431  14.41441441\n",
      "  14.51451451  14.61461461  14.71471471  14.81481481  14.91491491\n",
      "  15.01501502  15.11511512  15.21521522  15.31531532  15.41541542\n",
      "  15.51551552  15.61561562  15.71571572  15.81581582  15.91591592\n",
      "  16.01601602  16.11611612  16.21621622  16.31631632  16.41641642\n",
      "  16.51651652  16.61661662  16.71671672  16.81681682  16.91691692\n",
      "  17.01701702  17.11711712  17.21721722  17.31731732  17.41741742\n",
      "  17.51751752  17.61761762  17.71771772  17.81781782  17.91791792\n",
      "  18.01801802  18.11811812  18.21821822  18.31831832  18.41841842\n",
      "  18.51851852  18.61861862  18.71871872  18.81881882  18.91891892\n",
      "  19.01901902  19.11911912  19.21921922  19.31931932  19.41941942\n",
      "  19.51951952  19.61961962  19.71971972  19.81981982  19.91991992\n",
      "  20.02002002  20.12012012  20.22022022  20.32032032  20.42042042\n",
      "  20.52052052  20.62062062  20.72072072  20.82082082  20.92092092\n",
      "  21.02102102  21.12112112  21.22122122  21.32132132  21.42142142\n",
      "  21.52152152  21.62162162  21.72172172  21.82182182  21.92192192\n",
      "  22.02202202  22.12212212  22.22222222  22.32232232  22.42242242\n",
      "  22.52252252  22.62262262  22.72272272  22.82282282  22.92292292\n",
      "  23.02302302  23.12312312  23.22322322  23.32332332  23.42342342\n",
      "  23.52352352  23.62362362  23.72372372  23.82382382  23.92392392\n",
      "  24.02402402  24.12412412  24.22422422  24.32432432  24.42442442\n",
      "  24.52452452  24.62462462  24.72472472  24.82482482  24.92492492\n",
      "  25.02502503  25.12512513  25.22522523  25.32532533  25.42542543\n",
      "  25.52552553  25.62562563  25.72572573  25.82582583  25.92592593\n",
      "  26.02602603  26.12612613  26.22622623  26.32632633  26.42642643\n",
      "  26.52652653  26.62662663  26.72672673  26.82682683  26.92692693\n",
      "  27.02702703  27.12712713  27.22722723  27.32732733  27.42742743\n",
      "  27.52752753  27.62762763  27.72772773  27.82782783  27.92792793\n",
      "  28.02802803  28.12812813  28.22822823  28.32832833  28.42842843\n",
      "  28.52852853  28.62862863  28.72872873  28.82882883  28.92892893\n",
      "  29.02902903  29.12912913  29.22922923  29.32932933  29.42942943\n",
      "  29.52952953  29.62962963  29.72972973  29.82982983  29.92992993\n",
      "  30.03003003  30.13013013  30.23023023  30.33033033  30.43043043\n",
      "  30.53053053  30.63063063  30.73073073  30.83083083  30.93093093\n",
      "  31.03103103  31.13113113  31.23123123  31.33133133  31.43143143\n",
      "  31.53153153  31.63163163  31.73173173  31.83183183  31.93193193\n",
      "  32.03203203  32.13213213  32.23223223  32.33233233  32.43243243\n",
      "  32.53253253  32.63263263  32.73273273  32.83283283  32.93293293\n",
      "  33.03303303  33.13313313  33.23323323  33.33333333  33.43343343\n",
      "  33.53353353  33.63363363  33.73373373  33.83383383  33.93393393\n",
      "  34.03403403  34.13413413  34.23423423  34.33433433  34.43443443\n",
      "  34.53453453  34.63463463  34.73473473  34.83483483  34.93493493\n",
      "  35.03503504  35.13513514  35.23523524  35.33533534  35.43543544\n",
      "  35.53553554  35.63563564  35.73573574  35.83583584  35.93593594\n",
      "  36.03603604  36.13613614  36.23623624  36.33633634  36.43643644\n",
      "  36.53653654  36.63663664  36.73673674  36.83683684  36.93693694\n",
      "  37.03703704  37.13713714  37.23723724  37.33733734  37.43743744\n",
      "  37.53753754  37.63763764  37.73773774  37.83783784  37.93793794\n",
      "  38.03803804  38.13813814  38.23823824  38.33833834  38.43843844\n",
      "  38.53853854  38.63863864  38.73873874  38.83883884  38.93893894\n",
      "  39.03903904  39.13913914  39.23923924  39.33933934  39.43943944\n",
      "  39.53953954  39.63963964  39.73973974  39.83983984  39.93993994\n",
      "  40.04004004  40.14014014  40.24024024  40.34034034  40.44044044\n",
      "  40.54054054  40.64064064  40.74074074  40.84084084  40.94094094\n",
      "  41.04104104  41.14114114  41.24124124  41.34134134  41.44144144\n",
      "  41.54154154  41.64164164  41.74174174  41.84184184  41.94194194\n",
      "  42.04204204  42.14214214  42.24224224  42.34234234  42.44244244\n",
      "  42.54254254  42.64264264  42.74274274  42.84284284  42.94294294\n",
      "  43.04304304  43.14314314  43.24324324  43.34334334  43.44344344\n",
      "  43.54354354  43.64364364  43.74374374  43.84384384  43.94394394\n",
      "  44.04404404  44.14414414  44.24424424  44.34434434  44.44444444\n",
      "  44.54454454  44.64464464  44.74474474  44.84484484  44.94494494\n",
      "  45.04504505  45.14514515  45.24524525  45.34534535  45.44544545\n",
      "  45.54554555  45.64564565  45.74574575  45.84584585  45.94594595\n",
      "  46.04604605  46.14614615  46.24624625  46.34634635  46.44644645\n",
      "  46.54654655  46.64664665  46.74674675  46.84684685  46.94694695\n",
      "  47.04704705  47.14714715  47.24724725  47.34734735  47.44744745\n",
      "  47.54754755  47.64764765  47.74774775  47.84784785  47.94794795\n",
      "  48.04804805  48.14814815  48.24824825  48.34834835  48.44844845\n",
      "  48.54854855  48.64864865  48.74874875  48.84884885  48.94894895\n",
      "  49.04904905  49.14914915  49.24924925  49.34934935  49.44944945\n",
      "  49.54954955  49.64964965  49.74974975  49.84984985  49.94994995\n",
      "  50.05005005  50.15015015  50.25025025  50.35035035  50.45045045\n",
      "  50.55055055  50.65065065  50.75075075  50.85085085  50.95095095\n",
      "  51.05105105  51.15115115  51.25125125  51.35135135  51.45145145\n",
      "  51.55155155  51.65165165  51.75175175  51.85185185  51.95195195\n",
      "  52.05205205  52.15215215  52.25225225  52.35235235  52.45245245\n",
      "  52.55255255  52.65265265  52.75275275  52.85285285  52.95295295\n",
      "  53.05305305  53.15315315  53.25325325  53.35335335  53.45345345\n",
      "  53.55355355  53.65365365  53.75375375  53.85385385  53.95395395\n",
      "  54.05405405  54.15415415  54.25425425  54.35435435  54.45445445\n",
      "  54.55455455  54.65465465  54.75475475  54.85485485  54.95495495\n",
      "  55.05505506  55.15515516  55.25525526  55.35535536  55.45545546\n",
      "  55.55555556  55.65565566  55.75575576  55.85585586  55.95595596\n",
      "  56.05605606  56.15615616  56.25625626  56.35635636  56.45645646\n",
      "  56.55655656  56.65665666  56.75675676  56.85685686  56.95695696\n",
      "  57.05705706  57.15715716  57.25725726  57.35735736  57.45745746\n",
      "  57.55755756  57.65765766  57.75775776  57.85785786  57.95795796\n",
      "  58.05805806  58.15815816  58.25825826  58.35835836  58.45845846\n",
      "  58.55855856  58.65865866  58.75875876  58.85885886  58.95895896\n",
      "  59.05905906  59.15915916  59.25925926  59.35935936  59.45945946\n",
      "  59.55955956  59.65965966  59.75975976  59.85985986  59.95995996\n",
      "  60.06006006  60.16016016  60.26026026  60.36036036  60.46046046\n",
      "  60.56056056  60.66066066  60.76076076  60.86086086  60.96096096\n",
      "  61.06106106  61.16116116  61.26126126  61.36136136  61.46146146\n",
      "  61.56156156  61.66166166  61.76176176  61.86186186  61.96196196\n",
      "  62.06206206  62.16216216  62.26226226  62.36236236  62.46246246\n",
      "  62.56256256  62.66266266  62.76276276  62.86286286  62.96296296\n",
      "  63.06306306  63.16316316  63.26326326  63.36336336  63.46346346\n",
      "  63.56356356  63.66366366  63.76376376  63.86386386  63.96396396\n",
      "  64.06406406  64.16416416  64.26426426  64.36436436  64.46446446\n",
      "  64.56456456  64.66466466  64.76476476  64.86486486  64.96496496\n",
      "  65.06506507  65.16516517  65.26526527  65.36536537  65.46546547\n",
      "  65.56556557  65.66566567  65.76576577  65.86586587  65.96596597\n",
      "  66.06606607  66.16616617  66.26626627  66.36636637  66.46646647\n",
      "  66.56656657  66.66666667  66.76676677  66.86686687  66.96696697\n",
      "  67.06706707  67.16716717  67.26726727  67.36736737  67.46746747\n",
      "  67.56756757  67.66766767  67.76776777  67.86786787  67.96796797\n",
      "  68.06806807  68.16816817  68.26826827  68.36836837  68.46846847\n",
      "  68.56856857  68.66866867  68.76876877  68.86886887  68.96896897\n",
      "  69.06906907  69.16916917  69.26926927  69.36936937  69.46946947\n",
      "  69.56956957  69.66966967  69.76976977  69.86986987  69.96996997\n",
      "  70.07007007  70.17017017  70.27027027  70.37037037  70.47047047\n",
      "  70.57057057  70.67067067  70.77077077  70.87087087  70.97097097\n",
      "  71.07107107  71.17117117  71.27127127  71.37137137  71.47147147\n",
      "  71.57157157  71.67167167  71.77177177  71.87187187  71.97197197\n",
      "  72.07207207  72.17217217  72.27227227  72.37237237  72.47247247\n",
      "  72.57257257  72.67267267  72.77277277  72.87287287  72.97297297\n",
      "  73.07307307  73.17317317  73.27327327  73.37337337  73.47347347\n",
      "  73.57357357  73.67367367  73.77377377  73.87387387  73.97397397\n",
      "  74.07407407  74.17417417  74.27427427  74.37437437  74.47447447\n",
      "  74.57457457  74.67467467  74.77477477  74.87487487  74.97497497\n",
      "  75.07507508  75.17517518  75.27527528  75.37537538  75.47547548\n",
      "  75.57557558  75.67567568  75.77577578  75.87587588  75.97597598\n",
      "  76.07607608  76.17617618  76.27627628  76.37637638  76.47647648\n",
      "  76.57657658  76.67667668  76.77677678  76.87687688  76.97697698\n",
      "  77.07707708  77.17717718  77.27727728  77.37737738  77.47747748\n",
      "  77.57757758  77.67767768  77.77777778  77.87787788  77.97797798\n",
      "  78.07807808  78.17817818  78.27827828  78.37837838  78.47847848\n",
      "  78.57857858  78.67867868  78.77877878  78.87887888  78.97897898\n",
      "  79.07907908  79.17917918  79.27927928  79.37937938  79.47947948\n",
      "  79.57957958  79.67967968  79.77977978  79.87987988  79.97997998\n",
      "  80.08008008  80.18018018  80.28028028  80.38038038  80.48048048\n",
      "  80.58058058  80.68068068  80.78078078  80.88088088  80.98098098\n",
      "  81.08108108  81.18118118  81.28128128  81.38138138  81.48148148\n",
      "  81.58158158  81.68168168  81.78178178  81.88188188  81.98198198\n",
      "  82.08208208  82.18218218  82.28228228  82.38238238  82.48248248\n",
      "  82.58258258  82.68268268  82.78278278  82.88288288  82.98298298\n",
      "  83.08308308  83.18318318  83.28328328  83.38338338  83.48348348\n",
      "  83.58358358  83.68368368  83.78378378  83.88388388  83.98398398\n",
      "  84.08408408  84.18418418  84.28428428  84.38438438  84.48448448\n",
      "  84.58458458  84.68468468  84.78478478  84.88488488  84.98498498\n",
      "  85.08508509  85.18518519  85.28528529  85.38538539  85.48548549\n",
      "  85.58558559  85.68568569  85.78578579  85.88588589  85.98598599\n",
      "  86.08608609  86.18618619  86.28628629  86.38638639  86.48648649\n",
      "  86.58658659  86.68668669  86.78678679  86.88688689  86.98698699\n",
      "  87.08708709  87.18718719  87.28728729  87.38738739  87.48748749\n",
      "  87.58758759  87.68768769  87.78778779  87.88788789  87.98798799\n",
      "  88.08808809  88.18818819  88.28828829  88.38838839  88.48848849\n",
      "  88.58858859  88.68868869  88.78878879  88.88888889  88.98898899\n",
      "  89.08908909  89.18918919  89.28928929  89.38938939  89.48948949\n",
      "  89.58958959  89.68968969  89.78978979  89.88988989  89.98998999\n",
      "  90.09009009  90.19019019  90.29029029  90.39039039  90.49049049\n",
      "  90.59059059  90.69069069  90.79079079  90.89089089  90.99099099\n",
      "  91.09109109  91.19119119  91.29129129  91.39139139  91.49149149\n",
      "  91.59159159  91.69169169  91.79179179  91.89189189  91.99199199\n",
      "  92.09209209  92.19219219  92.29229229  92.39239239  92.49249249\n",
      "  92.59259259  92.69269269  92.79279279  92.89289289  92.99299299\n",
      "  93.09309309  93.19319319  93.29329329  93.39339339  93.49349349\n",
      "  93.59359359  93.69369369  93.79379379  93.89389389  93.99399399\n",
      "  94.09409409  94.19419419  94.29429429  94.39439439  94.49449449\n",
      "  94.59459459  94.69469469  94.79479479  94.89489489  94.99499499\n",
      "  95.0950951   95.1951952   95.2952953   95.3953954   95.4954955\n",
      "  95.5955956   95.6956957   95.7957958   95.8958959   95.995996\n",
      "  96.0960961   96.1961962   96.2962963   96.3963964   96.4964965\n",
      "  96.5965966   96.6966967   96.7967968   96.8968969   96.996997\n",
      "  97.0970971   97.1971972   97.2972973   97.3973974   97.4974975\n",
      "  97.5975976   97.6976977   97.7977978   97.8978979   97.997998\n",
      "  98.0980981   98.1981982   98.2982983   98.3983984   98.4984985\n",
      "  98.5985986   98.6986987   98.7987988   98.8988989   98.998999\n",
      "  99.0990991   99.1991992   99.2992993   99.3993994   99.4994995\n",
      "  99.5995996   99.6996997   99.7997998   99.8998999  100.        ]\n"
     ]
    }
   ],
   "execution_count": 4
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-08-23T03:00:17.033948Z",
     "start_time": "2024-08-23T03:00:16.918465Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 第一张绘图API\n",
    "# 创建画板\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "# 指定x和y\n",
    "# ax.plot(x, x, label='linear')  \n",
    "# ax.plot(x, np.sin(x), label='linear')\n",
    "ax.plot(x, x ** 3 + x ** 2, label='linear')\n",
    "ax.set_xlabel('x label')\n",
    "ax.set_ylabel('y label')\n",
    "ax.set_title(\"Simple Plot\")\n",
    "ax.legend()"
   ],
   "id": "85d67102d9ba633b",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2cc9932cf48>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 10
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-08-23T03:00:57.095529Z",
     "start_time": "2024-08-23T03:00:56.971496Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.plot(x, x, label='linear')\n",
    "plt.plot(x, x**2, label='quadratic')\n",
    "plt.plot(x, x**3, label='cubic')\n",
    "\n",
    "plt.xlabel('x label')\n",
    "plt.ylabel('y label')\n",
    "plt.title(\"Simple Plot\")\n",
    "plt.legend()"
   ],
   "id": "d9d236682445b387",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2cc993890c8>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjcAAAHHCAYAAABDUnkqAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/NK7nSAAAACXBIWXMAAA9hAAAPYQGoP6dpAABcpklEQVR4nO3dd1xVBePH8c+9bGSJCjhQMPfGRa6spMx67LFpZq7UJ/fgMUc5M1dlmmX6a1jZ0qz0adhQ1MrcM809EFPBDQjKuuf3h3kTBQUFDly+79/r/uCe+b3HHs/Xc849x2IYhoGIiIiIg7CaHUBEREQkL6nciIiIiENRuRERERGHonIjIiIiDkXlRkRERByKyo2IiIg4FJUbERERcSgqNyIiIuJQVG5ERETEoajciEieCAkJoXv37qase/z48VgslgJf76pVq7BYLKxatarA1y0i2VO5EZEb2rFjB48//jiVKlXC3d2d8uXLc9999/Hmm2+aHS3ffPjhh1gsFvvL3d2datWqMWDAAOLi4vJkHUuXLmX8+PF5siwRyczZ7AAiUnitWbOGe+65h4oVK9K7d2+CgoI4evQo69at44033mDgwIH2affu3YvV6lj/XnrppZcIDQ3l0qVLrF69mjlz5rB06VJ27tyJp6fnbS176dKlzJ49WwVHJB+o3IhItiZNmoSvry8bN27Ez88v07iTJ09meu/m5laAyQpGu3btaNy4MQC9evWiVKlSvP766/zvf/+jU6dOJqcTkew41j+zRCRPHTx4kNq1a19XbAACAgIyvb/2mpsrp3ZWr17NoEGDKFOmDH5+fjz33HOkpqZy/vx5unbtSsmSJSlZsiTDhw/HMAz7/NHR0VgsFl577TVmzJhBpUqV8PDwoHXr1uzcuTNH+T/55BMaNWqEh4cH/v7+PPXUUxw9evSWtgXAvffeC8Dhw4dvON2iRYvs6y1dujTPPPMMx44ds4/v3r07s2fPBsh0+ktE8oaO3IhItipVqsTatWvZuXMnderUuaVlDBw4kKCgICZMmMC6det455138PPzY82aNVSsWJHJkyezdOlSXn31VerUqUPXrl0zzT9//nwSExPp378/ly5d4o033uDee+9lx44dBAYGZrveSZMmMWbMGJ588kl69erFqVOnePPNN7nrrrvYunVrloXtZg4ePAhAqVKlsp3mww8/pEePHjRp0oQpU6YQFxfHG2+8we+//25f73PPPcfx48dZtmwZH3/8ca5ziMhNGCIi2fj5558NJycnw8nJyWjWrJkxfPhw46effjJSU1Ovm7ZSpUpGt27d7O8/+OADAzDatm1r2Gw2+/BmzZoZFovF6NOnj31Yenq6UaFCBaN169b2YYcPHzYAw8PDw/jrr7/sw9evX28AxtChQ+3Dxo0bZ1z911l0dLTh5ORkTJo0KVPGHTt2GM7OztcNv9aV7MuXLzdOnTplHD161FiwYIFRqlSpTHlWrlxpAMbKlSsNwzCM1NRUIyAgwKhTp45x8eJF+/K+++47AzDGjh1rH9a/f39DfwWL5A+dlhKRbN13332sXbuWhx9+mO3bt/PKK6/Qtm1bypcvzzfffJOjZfTs2TPTKZfw8HAMw6Bnz572YU5OTjRu3JhDhw5dN3+HDh0oX768/X3Tpk0JDw9n6dKl2a7z66+/xmaz8eSTT3L69Gn7KygoiKpVq7Jy5cocZY+IiKBMmTIEBwfz1FNP4eXlxeLFizPludqmTZs4efIk/fr1w93d3T78oYceokaNGnz//fc5Wq+I3J5iXW5+/fVX2rdvT7ly5bBYLCxZsiTXyzAMg9dee41q1arh5uZG+fLlmTRpUt6HFTFJkyZN+Prrrzl37hwbNmxg1KhRJCYm8vjjj7Nr166bzl+xYsVM7319fQEIDg6+bvi5c+eum79q1arXDatWrRrR0dHZrnP//v0YhkHVqlUpU6ZMptfu3buvuxg6O7Nnz2bZsmWsXLmSXbt2cejQIdq2bZvt9EeOHAGgevXq142rUaOGfbyI5K9ifc1NUlIS9evX59lnn+XRRx+9pWUMHjyYn3/+mddee426dety9uxZzp49m8dJRczn6upKkyZNaNKkCdWqVaNHjx4sWrSIcePG3XA+JyenHA83rrqg+HbYbDYsFgs//PBDluvx8vLK0XKaNm1q/7aUiBQdxbrctGvXjnbt2mU7PiUlhRdffJHPP/+c8+fPU6dOHaZNm8bdd98NwO7du5kzZw47d+60/0stNDS0IKKLmOrKDv/EiRP5vq79+/dfN2zfvn2EhIRkO88dd9yBYRiEhoZSrVq1fEyXWaVKlYDL9/y58s2qK/bu3WsfD+jbUSL5qFiflrqZAQMGsHbtWhYsWMAff/zBE088wQMPPGD/y/bbb7+lcuXKfPfdd4SGhhISEkKvXr105EYcxsqVK7M8mnLlepesTr/ktSVLlmT6GvWGDRtYv379Df9h8uijj+Lk5MSECROuy28YBmfOnMmXrI0bNyYgIIC5c+eSkpJiH/7DDz+we/duHnroIfuwEiVKAHD+/Pl8ySJSnBXrIzc3EhMTwwcffEBMTAzlypUDYNiwYfz444988MEHTJ48mUOHDnHkyBEWLVrE/PnzycjIYOjQoTz++OOsWLHC5E8gcvsGDhxIcnIyjzzyCDVq1CA1NZU1a9awcOFCQkJC6NGjR75nqFKlCi1btqRv376kpKQwc+ZMSpUqxfDhw7Od54477uDll19m1KhRREdH06FDB7y9vTl8+DCLFy/mP//5D8OGDcvzrC4uLkybNo0ePXrQunVrOnXqZP8qeEhICEOHDrVP26hRIwAGDRpE27ZtcXJy4qmnnsrzTCLFkcpNNnbs2EFGRsZ1h7RTUlLs97iw2WykpKQwf/58+3Tvv/8+jRo1Yu/evQXyr1qR/PTaa6+xaNEili5dyjvvvENqaioVK1akX79+jB49+pbuFZNbXbt2xWq1MnPmTE6ePEnTpk156623KFu27A3nGzlyJNWqVWPGjBlMmDABuHwR8/3338/DDz+cb3m7d++Op6cnU6dOZcSIEZQoUYJHHnmEadOmZdpejz76KAMHDmTBggV88sknGIahciOSRyxGXl3BV8RZLBYWL15Mhw4dAFi4cCGdO3fmzz//vO6CRC8vL4KCghg3bhyTJ08mLS3NPu7ixYt4enry888/c9999xXkRxBxKNHR0YSGhvLqq6/my1EWEXFcOnKTjbCwMDIyMjh58iStWrXKcpoWLVqQnp7OwYMHueOOO4DLFzoCmS4cFBERkYJTrMvNhQsXOHDggP394cOH2bZtG/7+/lSrVo3OnTvTtWtXpk+fTlhYGKdOnSIqKop69erx0EMPERERQcOGDXn22WeZOXMmNpuN/v37c9999xXoNzRERETkH8X621KbNm0iLCyMsLAwACIjIwkLC2Ps2LEAfPDBB3Tt2pX//ve/VK9enQ4dOrBx40b7TcmsVivffvstpUuX5q677uKhhx6iZs2aLFiwwLTPJCIiUtzpmhsRERFxKMX6yI2IiIg4HpUbERERcSjF7oJim83G8ePH8fb21u3PRUREigjDMEhMTKRcuXJYrTc+NlPsys3x48evexqxiIiIFA1Hjx6lQoUKN5ym2JUbb29v4PLG8fHxMTmNiIiI5ERCQgLBwcH2/fiNFLtyc+VUlI+Pj8qNiIhIEZOTS0p0QbGIiIg4FJUbERERcSgqNyIiIuJQit01NzmVkZGR6WnfUvS4uLhc90R3ERFxfCo31zAMg9jYWM6fP292FMkDfn5+BAUF6Z5GIiLFiMrNNa4Um4CAADw9PbVTLKIMwyA5OZmTJ08CULZsWZMTiYhIQVG5uUpGRoa92JQqVcrsOHKbPDw8ADh58iQBAQE6RSUiUkzoguKrXLnGxtPT0+Qkkleu/Fnq+ikRkeJD5SYLOhXlOPRnKSJS/KjciIiIiEMxtdz8+uuvtG/fnnLlymGxWFiyZMlN51m1ahUNGzbEzc2NKlWq8OGHH+Z7zqLg7rvvZsiQIQCEhIQwc+ZMU/OIiIiYxdRyk5SURP369Zk9e3aOpj98+DAPPfQQ99xzD9u2bWPIkCH06tWLn376KZ+TFi0bN27kP//5j9kxRERETGHqt6XatWtHu3btcjz93LlzCQ0NZfr06QDUrFmT1atXM2PGDNq2bZtfMYucMmXKmB0BuHwRr4uLi9kxRESkAK05vobwoHCcrOZ9Q7VIXXOzdu1aIiIiMg1r27Yta9euzXaelJQUEhISMr0c3bWnpSwWC++99x6PPPIInp6eVK1alW+++SbTPDt37qRdu3Z4eXkRGBhIly5dOH36tH38jz/+SMuWLfHz86NUqVL861//4uDBg/bx0dHRWCwWFi5cSOvWrXF3d+fTTz/N988qIiKFx7aT23hu2XM8+s2jpNnM+5ZqkSo3sbGxBAYGZhoWGBhIQkICFy9ezHKeKVOm4Ovra38FBwfnap2GYZCcmm7KyzCMW95W15owYQJPPvkkf/zxBw8++CCdO3fm7NmzAJw/f557772XsLAwNm3axI8//khcXBxPPvmkff6kpCQiIyPZtGkTUVFRWK1WHnnkEWw2W6b1jBw5ksGDB7N7924dTRMRKWbm75oPQP0y9XGxmnfk3uFv4jdq1CgiIyPt7xMSEnJVcC6mZVBrrDnX9Ox6qS2ernnzR9S9e3c6deoEwOTJk5k1axYbNmzggQce4K233iIsLIzJkyfbp583bx7BwcHs27ePatWq8dhjj2Va3rx58yhTpgy7du2iTp069uFDhgzh0UcfzZPMIiJSdBxNPEpUTBQAXWp1MTVLkTpyExQURFxcXKZhcXFx+Pj42O9Gey03Nzd8fHwyvYqjevXq2X8vUaIEPj4+9kcTbN++nZUrV+Ll5WV/1ahRA8B+6mn//v106tSJypUr4+PjQ0hICAAxMTGZ1tO4ceMC+DQiIlLYzP9zPjbDRotyLahasqqpWYrUkZtmzZqxdOnSTMOWLVtGs2bN8m2dHi5O7HrJnNMrHi55dzHWtRf2WiwW+ymlCxcu0L59e6ZNm3bdfFeeydS+fXsqVarEu+++S7ly5bDZbNSpU4fU1NRM05coUSLPMouISNFw7tI5lhxYAkD3Ot1NzQIml5sLFy5w4MAB+/vDhw+zbds2/P39qVixIqNGjeLYsWPMn3/5HF6fPn146623GD58OM8++ywrVqzgiy++4Pvvv8+3jBaLJc9ODRVWDRs25KuvviIkJARn5+s/65kzZ9i7dy/vvvsurVq1AmD16tUFHVNERAqphXsXcinjEjX9axIeFG52HHNPS23atImwsDDCwsIAiIyMJCwsjLFjxwJw4sSJTKc9QkND+f7771m2bBn169dn+vTpvPfee7pw9Tb179+fs2fP0qlTJzZu3MjBgwf56aef6NGjBxkZGZQsWZJSpUrxzjvvcODAAVasWJHpOiYRESm+LqVf4vM9nwPQvXb3QvHYG1MPSdx99903/EZQVncfvvvuu9m6dWs+pip+ypUrx++//86IESO4//77SUlJoVKlSjzwwANYrVYsFgsLFixg0KBB1KlTh+rVqzNr1izuvvtus6OLiIjJvjn4DWcvnaVciXLcH3K/2XGAInbNjWRv1apV9t+jo6MzjcuqQJ4/fz7T+6pVq/L1119nu/yIiAh27dqV7XJDQkLy9KvrIiJS+GXYMuxf/+5SqwvO1sJRK4rUt6VERESk8Fh1dBVHEo7g7erNo1ULz21AVG5ERETklnz454cAdKzeEU8XT3PDXEXlRkRERHJt28ltbDu1DRerC0/XeNrsOJmo3IiIiEiufbDzAwDa39GeMp6F44HNV6jciIiISK5Ex0ez8uhKALrV6mZymuup3IiIiEiufLTrIwwMWldoTWW/ymbHuY7KjYiIiOTYmYtn+ObAN8Dlm/YVRio3IiIikmOf7/mcVFsqdUvXpVFgI7PjZEnlRkRERHIkOS2ZBXsXAIXnUQtZUbmR2zJ+/HgaNGiQb8u/++67GTJkSL4tX0REcm7xgcXEp8RTwasCbSq2MTtOtgrHfZKl2Fu1ahX33HMP586dw8/Pzz7866+/xsXFxbxgIiICQJotjY/+/AiAbrW74WR1MjlR9lRuJF+lpqbi6up6y/P7+/vnYRoREblVPxz+gRNJJ/B396dDlQ5mx7khnZZyEElJSXTt2hUvLy/Kli3L9OnTM53SsVgsLFmyJNM8fn5+mZ68PmLECKpVq4anpyeVK1dmzJgxpKWlZZpn6tSpBAYG4u3tTc+ePbl06VKm8d27d6dDhw5MmjSJcuXKUb16dQA+/vhjGjdujLe3N0FBQTz99NOcPHkSuPygz3vuuQeAkiVLYrFY6N69O3D9aamUlBRGjBhBcHAwbm5uVKlShffff/82t56IiNyIzbDx/o7Lf9d2qdUFd2d3kxPdmI7c3IxhQFqyOet28YQcXqz1/PPP88svv/C///2PgIAAXnjhBbZs2ZKr62G8vb358MMPKVeuHDt27KB37954e3szfPhwAL744gvGjx/P7NmzadmyJR9//DGzZs2icuXM9ziIiorCx8eHZcuW2YelpaUxceJEqlevzsmTJ4mMjKR79+4sXbqU4OBgvvrqKx577DH27t2Lj48PHh4eWWbs2rUra9euZdasWdSvX5/Dhw9z+vTpHH9GERHJvZVHV3Io/hBeLl50rN7R7Dg3pXJzM2nJMLmcOet+4Ti4lrjpZBcuXOD999/nk08+oU2byxd4ffTRR1SoUCFXqxs9erT995CQEIYNG8aCBQvs5WbmzJn07NmTnj17AvDyyy+zfPny647elChRgvfeey/T6ahnn33W/nvlypWZNWsWTZo04cKFC3h5edlPPwUEBGS65uZq+/bt44svvmDZsmVERETYlyUiIvnHMAz7UZunajyFt6u3yYluTqelHMDBgwdJTU0lPDzcPszf399+SiinFi5cSIsWLQgKCsLLy4vRo0cTExNjH7979+5M6wBo1qzZdcupW7fuddfZbN68mfbt21OxYkW8vb1p3bo1QKbl38y2bdtwcnKyzysiIvlvY+xGdpzegZuTG51rdjY7To7oyM3NuHhePoJi1rrziMViwTCMTMOuvp5m7dq1dO7cmQkTJtC2bVt8fX1ZsGAB06dPz/W6SpTIfLQpKSmJtm3b0rZtWz799FPKlClDTEwMbdu2JTU1NcfLze5UlYiI5J/3drwHQIcqHSjtUdrkNDmjcnMzFkuOTg2Z6Y477sDFxYX169dTsWJFAM6dO8e+ffvsRznKlCnDiRMn7PPs37+f5OR/riVas2YNlSpV4sUXX7QPO3LkSKb11KxZk/Xr19O1a1f7sHXr1t003549ezhz5gxTp04lODgYgE2bNmWa5sqRnoyMjGyXU7duXWw2G7/88ov9tJSIiOSfP8/8ydoTa3GyONGjTg+z4+SYTks5AC8vL3r27Mnzzz/PihUr2LlzJ927d8dq/eeP99577+Wtt95i69atbNq0iT59+mS6f0zVqlWJiYlhwYIFHDx4kFmzZrF48eJM6xk8eDDz5s3jgw8+YN++fYwbN44///zzpvkqVqyIq6srb775JocOHeKbb75h4sSJmaapVKkSFouF7777jlOnTnHhwoXrlhMSEkK3bt149tlnWbJkCYcPH2bVqlV88cUXud1kIiKSA1eutWkX2o7yXuVNTpNzKjcO4tVXX6VVq1a0b9+eiIgIWrZsSaNG/zzzY/r06QQHB9OqVSuefvpphg0bhqfnP6e9Hn74YYYOHcqAAQNo0KABa9asYcyYMZnW0bFjR8aMGcPw4cNp1KgRR44coW/fvjfNVqZMGT788EMWLVpErVq1mDp1Kq+99lqmacqXL8+ECRMYOXIkgYGBDBgwIMtlzZkzh8cff5x+/fpRo0YNevfuTVJSUm42lYiI5MDh+MMsP7IcgGfrPHuTqQsXi3HthRgOLiEhAV9fX+Lj4/Hx8ck07tKlSxw+fJjQ0FDc3Qv3d/hz4u6776ZBgwbMnDnT7CimcbQ/UxGRgjL297EsPrCYuyvczZtt3jQ7zg3339fSkRsRERHJJDYplm8PfQtAz7o9TU6Teyo3IiIiksn8XfNJt6XTOLAxDQIamB0n1/RtKQe2atUqsyOIiEgRc/7Seb7c9yUAver2MjnNrdGRGxEREbH7bM9nXEy/SE3/mjQv19zsOLdE5UZEREQAuJB6gU92fwLAs3WfxZLD5xsWNio3IiIiAsCCvQtITE0k1DeU+yreZ3acW6ZyIyIiIiSnJTP/z/kA9K7bGyerk8mJbp3KjYiIiLBo3yLOpZwj2DuYdqHtzI5zW1RuREREirlL6Zf48M8PgcvfkHK2Fu0vU6vcCB9++CF+fn43nGb8+PE0aNCgQPKIiEjB+nr/15y+eJqyJcrSvnJ7s+PcNpUbyZFhw4YRFRVldgwREcljqRmpzNs5D4CedXri4uRykzkKv6J93EkKjJeXF15eXmbHEBGRPPa/g/8jLjmOAI8AOlTtYHacPKEjNw7CZrPxyiuvUKVKFdzc3KhYsSKTJk1i1apVWCwWzp8/b59227ZtWCwWoqOjMy1jyZIlVK1aFXd3d9q2bcvRo0ft47I6LTVv3jxq166Nm5sbZcuWzfZJ3iIiUjil2dJ4f8f7AHSv0x03JzeTE+UNHbm5CcMwuJh+0ZR1ezh75PgGSqNGjeLdd99lxowZtGzZkhMnTrBnz54crys5OZlJkyYxf/58XF1d6devH0899RS///57ltPPmTOHyMhIpk6dSrt27YiPj892WhERKZyWHlrKsQvH8Hf35/Fqj5sdJ8+o3NzExfSLhH8Wbsq61z+9Hk8Xz5tOl5iYyBtvvMFbb71Ft27dALjjjjto2bJljp8vlZaWxltvvUV4+OXP+tFHH1GzZk02bNhA06ZNr5v+5Zdf5r///S+DBw+2D2vSpEmO1iUiIubLsGXw3o73AOhWuxsezh4mJ8o7Oi3lAHbv3k1KSgpt2rS55WU4OztnKic1atTAz8+P3bt3XzftyZMnOX78+G2tT0REzPVT9E9EJ0Tj6+ZLx+odzY6Tp3Tk5iY8nD1Y//R609ado+k8sp/Oar3cXw3DsA9LS0u7vVw3WJ+IiBR+NsPGuzveBeCZms9QwqWEyYnylsrNTVgslhydGjJT1apV8fDwICoqil69Mj+evkyZMgCcOHGCkiVLApcvKL5Weno6mzZtsp+C2rt3L+fPn6dmzZrXTevt7U1ISAhRUVHcc889efxpREQkv62IWcGB8wfwcvHi6ZpPmx0nz6ncOAB3d3dGjBjB8OHDcXV1pUWLFpw6dYo///yTrl27EhwczPjx45k0aRL79u1j+vTp1y3DxcWFgQMHMmvWLJydnRkwYAB33nlnltfbwOVvT/Xp04eAgADatWtHYmIiv//+OwMHDszvjysiIrfBMAz+74//A+Dpmk/j4+pjcqK8p3LjIMaMGYOzszNjx47l+PHjlC1blj59+uDi4sLnn39O3759qVevHk2aNOHll1/miSeeyDS/p6cnI0aM4Omnn+bYsWO0atWK999/P9v1devWjUuXLjFjxgyGDRtG6dKlefxxx7nSXkTEUa2IWcGes3vwdPakS80uZsfJFxbj6osxioGEhAR8fX2Jj4/HxydzW7106RKHDx8mNDQUd3d3kxJKXtKfqYjIP2yGjSe+fYJ95/bRu25vBjUcZHakHLvR/vta+raUiIhIMREVE8W+c/so4VKCbrW7mR0n36jciIiIFAM2w8bb294GoHPNzvi6+ZqcKP+o3IiIiBQDy44ss39DqmutrmbHyVcqNyIiIg7OZtiYu30uAM/Uesahj9qAyk2Witk11g5Nf5YiIvBz9M8cOH8AbxdvutRyzG9IXU3l5iouLi7A5YdIimO48md55c9WRKS4ybBlMGf7HAC61OrikPe1uZbuc3MVJycn/Pz8OHnyJHD53i85fSq3FC6GYZCcnMzJkyfx8/PDycnJ7EgiIqb4KfonDsUfwtvVm2dqPWN2nAKhcnONoKAgAHvBkaLNz8/P/mcqIlLcZNgymPvH5Wttutbqirert8mJCobKzTUsFgtly5YlICDgth8wKeZycXHRERsRKdZ+iP6Bw/GH8XH14ZmaxeOoDajcZMvJyUk7RhERKbLSben83/bLz5DqVrsbXq5eJicqOLqgWERExAH9cPgHohOi8XXz5ekajvfk7xtRuREREXEw6bZ0+5O/u9fuXqyO2oDKjYiIiMP59uC3HEk4gp+bH51qdDI7ToEzvdzMnj2bkJAQ3N3dCQ8PZ8OGDTecfubMmVSvXh0PDw+Cg4MZOnQoly5dKqC0IiIihVtqRipvb7/8DKledXtRwqWEyYkKnqnlZuHChURGRjJu3Di2bNlC/fr1adu2bbZfw/7ss88YOXIk48aNY/fu3bz//vssXLiQF154oYCTi4iIFE6L9i0iNimWAI8AOlbvaHYcU5habl5//XV69+5Njx49qFWrFnPnzsXT05N58+ZlOf2aNWto0aIFTz/9NCEhIdx///106tTppkd7REREioPktGTe+eMdAJ6r/xzuzu4mJzKHaeUmNTWVzZs3ExER8U8Yq5WIiAjWrl2b5TzNmzdn8+bN9jJz6NAhli5dyoMPPpjtelJSUkhISMj0EhERcUSf7fmMs5fOUsGrAo9UfcTsOKYx7T43p0+fJiMjg8DAwEzDAwMD2bNnT5bzPP3005w+fZqWLVtiGAbp6en06dPnhqelpkyZwoQJE/I0u4iISGGTkJrAvJ2Xz3z0a9APF2vxfaae6RcU58aqVauYPHkyb7/9Nlu2bOHrr7/m+++/Z+LEidnOM2rUKOLj4+2vo0ePFmBiERGRgvHhzg9JTE2kil8VHgzN/oxGcWDakZvSpUvj5OREXFxcpuFxcXHZPgtozJgxdOnShV69egFQt25dkpKS+M9//sOLL76I1Xp9V3Nzc8PNzS3vP4CIiEghcebiGT7Z/QkAAxoMwMlavO+wb9qRG1dXVxo1akRUVJR9mM1mIyoqimbNmmU5T3Jy8nUF5sojEgzDyL+wIiIihdh7O97jYvpFapeqzb0V7zU7julMfbZUZGQk3bp1o3HjxjRt2pSZM2eSlJREjx49AOjatSvly5dnypQpALRv357XX3+dsLAwwsPDOXDgAGPGjKF9+/Z6DpSIiBRLsUmxLNy7EIBBYYOwWCwmJzKfqeWmY8eOnDp1irFjxxIbG0uDBg348ccf7RcZx8TEZDpSM3r0aCwWC6NHj+bYsWOUKVOG9u3bM2nSJLM+goiIiKnmbp9Lmi2NxoGNaVYu6zMfxY3FKGbncxISEvD19SU+Ph4fHx+z44iIiNyyIwlH+PeSf5NhZDC/3XzCAsLMjpRvcrP/LlLflhIREZF/vL3tbTKMDFqVb+XQxSa3VG5ERESKoH3n9vHD4R8AGBg20OQ0hYvKjYiISBE0c/NMDAzahrSlZqmaZscpVFRuREREipiNsRv57dhvOFucddQmCyo3IiIiRYhhGMzYPAOAx6o9RiWfSiYnKnxUbkRERIqQZUeWseP0DjycPehTv4/ZcQollRsREZEiIs2WxqytswDoXrs7pT1Km5yocFK5ERERKSIW71/MkYQj+Lv70612N7PjFFoqNyIiIkVAcloyb297G4Dn6j1HCZcSJicqvFRuREREioD5u+Zz5tIZgr2DeaLaE2bHKdRUbkRERAq5s5fO8sHOD4DLD8d0cXIxOVHhpnIjIiJSyL3zxzskpydTq1Qt7g+53+w4hZ7KjYiISCF2NPEoC/cuBCCyUSRWi3bdN6MtJCIiUoi9ufVN0m3ptCjXgvCy4WbHKRJUbkRERAqpXWd22R+OOaTREHPDFCEqNyIiIoWQYRhM3zQdgIcqP0QN/xomJyo6VG5EREQKoV/++oUNsRtwtboyKGyQ2XGKFJUbERGRQibNlmY/atOlVhfKeZUzOVHRonIjIiJSyCzau4johGj83f3pVbeX2XGKHJUbERGRQiQhNYE52+cA0K9+P7xcvUxOVPSo3IiIiBQi7/7xLudTzlPZtzKPVXvM7DhFksqNiIhIIfFX4l98uvtTAP7b+L84W51NTlQ0qdyIiIgUEjO3zCTNlsadZe+kVflWZscpslRuRERECoFtJ7fxU/RPWLAwrPEwLBaL2ZGKLJUbERERkxmGwaubXgWgQ5UOVPevbnKiok3lRkRExGQ/Rf/EH6f+wMPZgwFhA8yOU+Sp3IiIiJgoJSOFGZtnANCjTg8CPANMTlT0qdyIiIiY6NPdn3I86TgBHgF0q9XN7DgOQeVGRETEJKcvnuadP94BYGDDgXi6eJqcyDGo3IiIiJjkjS1vkJSWRO1StXn4jofNjuMwVG5ERERMsPP0TpYcWALAyKYjsVq0S84r2pIiIiIFzDAMpm6YCsC/Kv+LBgENzA3kYFRuRERECtj3h79n+6nteDh7MKThELPjOByVGxERkQKUnJbMjE2Xv/rdu25vAksEmpzI8ajciIiIFKD3drzHyYsnKe9Vnq61u5odxyGp3IiIiBSQo4lH+ejPjwB4vvHzuDm5mZzIManciIiIFJDXN71Oqi2V8LLh3FvxXrPjOCyVGxERkQKw/sR6lscsx8nixIgmI/TU73ykciMiIpLP0m3p9q9+P1n9SaqWrGpyIsemciMiIpLPFu1bxIHzB/B186V/g/5mx3F4KjciIiL56Nylc7y19S0ABjQYgK+br8mJHJ/KjYiISD56Y8sbJKQmUK1kNR6v9rjZcYoFlRsREZF8sv3Udr7a/xUAo+8cjbPV2eRExYPKjYiISD7IsGUwad0kAP59x78JCwgzOVHxoXIjIiKSD77c9yW7z+7G28WboY2Gmh2nWFG5ERERyWNnLp7hja1vADCw4UBKeZQyOVHxonIjIiKSx2ZumUliaiI1/WvyZLUnzY5T7KjciIiI5KFtJ7ex5MASAF4IfwEnq5O5gYohlRsREZE8km5LZ9L6yxcRP1LlERoENDA3UDGlciMiIpJHFu5dyJ6ze/Bx9WFIoyFmxym2VG5ERETywOmLp+13Ih7ccDD+7v4mJyq+VG5ERETywIzNM7iQdoFapWrxWNXHzI5TrKnciIiI3KZNsZv45uA3WLAwOny0LiI2mcqNiIjIbUjNSOWldS8B8Fi1x6hbpq7JiUTlRkRE5DbM2zmPw/GH8Xf3Z0jDIWbHEVRuREREbll0fDTv/vEuACOajMDXzdfkRAKFoNzMnj2bkJAQ3N3dCQ8PZ8OGDTec/vz58/Tv35+yZcvi5uZGtWrVWLp0aQGlFRERucwwDF5e9zKptlSal2tOu9B2ZkeSv5n67PWFCxcSGRnJ3LlzCQ8PZ+bMmbRt25a9e/cSEBBw3fSpqancd999BAQE8OWXX1K+fHmOHDmCn59fwYcXEZFi7btD37E+dj1uTm6MDh+NxWIxO5L8zWIYhmHWysPDw2nSpAlvvXX5vgA2m43g4GAGDhzIyJEjr5t+7ty5vPrqq+zZswcXF5dbWmdCQgK+vr7Ex8fj4+NzW/lFRKR4On/pPA8veZhzKecY3HAwver2MjuSw8vN/tu001Kpqals3ryZiIiIf8JYrURERLB27dos5/nmm29o1qwZ/fv3JzAwkDp16jB58mQyMjKyXU9KSgoJCQmZXiIiIrfj9c2vcy7lHFX8qtCtdjez48g1TCs3p0+fJiMjg8DAwEzDAwMDiY2NzXKeQ4cO8eWXX5KRkcHSpUsZM2YM06dP5+WXX852PVOmTMHX19f+Cg4OztPPISIixcvG2I0sPrAYgHHNxuFivbUzCZJ/TL+gODdsNhsBAQG88847NGrUiI4dO/Liiy8yd+7cbOcZNWoU8fHx9tfRo0cLMLGIiDiS1IxUJq6bCMAT1Z7QgzELKdMuKC5dujROTk7ExcVlGh4XF0dQUFCW85QtWxYXFxecnP6582PNmjWJjY0lNTUVV1fX6+Zxc3PDzc0tb8OLiEixdOWeNqXcSzG44WCz40g2TDty4+rqSqNGjYiKirIPs9lsREVF0axZsyznadGiBQcOHMBms9mH7du3j7Jly2ZZbERERPJKpnvaNNU9bQozU09LRUZG8u677/LRRx+xe/du+vbtS1JSEj169ACga9eujBo1yj593759OXv2LIMHD2bfvn18//33TJ48mf79+5v1EUREpBiwGTbGrx1Pqi2VFuVa8EDIA2ZHkhsw9T43HTt25NSpU4wdO5bY2FgaNGjAjz/+aL/IOCYmBqv1n/4VHBzMTz/9xNChQ6lXrx7ly5dn8ODBjBgxwqyPICIixcCX+75kc9xmPJw9GNNsjO5pU8iZep8bM+g+NyIikhuxSbF0+F8HktKSGNl0JJ1rdjY7UrFUJO5zIyIiUtgZhsFLa18iKS2J+mXq81T1p8yOJDmgciMiIpKN7w9/z2/HfsPF6sJLzV/Cyep085nEdCo3IiIiWThz8QzTNkwDoE/9PlT2q2xyIskplRsREZEsTNswjfMp56lesjo96vQwO47kgsqNiIjINVbGrOSH6B9wsjjxUouX9IiFIiZHXwXPzcMm9Q0kEREpyhJSE3h53eVnFnar3Y1apWqZnEhyK0flxs/P76bf6TcMA4vFcsMndIuIiBR2r296nZMXT1LJpxJ96/c1O47cghyVm5UrV+Z3DhEREdOtP7Ger/Z/BcCE5hNwd3Y3OZHcihyVm9atW+d3DhEREVMlpSUxbs04ADpW70ijwEYmJ5JbdUsXFP/2228888wzNG/enGPHjgHw8ccfs3r16jwNJyIiUlCmb5rOsQvHKO9VnqGNhpodR25DrsvNV199Rdu2bfHw8GDLli2kpKQAEB8fz+TJk/M8oIiISH5bc2wNi/YtAuCl5i9RwqWEyYnkduS63Lz88svMnTuXd999FxeXf74a16JFC7Zs2ZKn4URERPJbYmoiY9eMBeDpGk/TtGxTkxPJ7cp1udm7dy933XXXdcN9fX05f/58XmQSEREpMK9sfIW45DgqeldkcMPBZseRPJDrchMUFMSBAweuG7569WoqV9atqUVEpOj45egvLDmwBAsWXm75Mp4unmZHkjyQ63LTu3dvBg8ezPr167FYLBw/fpxPP/2UYcOG0bev7gcgIiJFQ3xKPBPWTgCga62uhAWEmZxI8kqOvgp+tZEjR2Kz2WjTpg3JycncdddduLm5MWzYMAYOHJgfGUVERPLclA1TOHXxFKG+oQwIG2B2HMlDFsMwjFuZMTU1lQMHDnDhwgVq1aqFl5dXXmfLFwkJCfj6+hIfH69HRYiIFFNRR6IYsmoIVouVT9p9Qt0ydc2OJDeRm/13ro/cXOHq6oq3tzfe3t5FptiIiIicvXSWl9a9BMCzdZ5VsXFAub7mJj09nTFjxuDr60tISAghISH4+voyevRo0tLS8iOjiIhInjAMgwlrJnD20lmqlqyqZ0c5qFwfuRk4cCBff/01r7zyCs2aNQNg7dq1jB8/njNnzjBnzpw8DykiIpIXlhxYwoqjK3C2OjO55WRcnVzNjiT5INfX3Pj6+rJgwQLatWuXafjSpUvp1KkT8fHxeRowr+maGxGR4ulo4lEe/+ZxktOTGdpoKM/WedbsSJILudl/5/q0lJubGyEhIdcNDw0NxdVVDVhERAqfdFs6L/z2AsnpyTQKbES3Wt3MjiT5KNflZsCAAUycONH+TCmAlJQUJk2axIAB+iqdiIgUPu/veJ9tp7bh5eLF5JaTcbI6mR1J8lGOrrl59NFHM71fvnw5FSpUoH79+gBs376d1NRU2rRpk/cJRUREbsOfp/9k7va5ALwQ/gLlvMqZnEjyW47Kja+vb6b3jz32WKb3wcHBeZdIREQkj1xMv8jI30aSbqRzf6X7+Vflf5kdSQpAjsrNBx98kN85RERE8tz0TdOJTogmwCOAsc3GYrFYzI4kBSDX19yIiIgUBb/+9SsL9y4EYGLLifi6+d5kDnEUt3SH4i+//JIvvviCmJgYUlNTM43bsmVLngQTERG5VWcvnWXs72MB6FyzM83LNTc5kRSkXB+5mTVrFj169CAwMJCtW7fStGlTSpUqxaFDh667942IiEhBsxk2Rq8ezZlLZ7jD9w6GNBxidiQpYLkuN2+//TbvvPMOb775Jq6urgwfPpxly5YxaNCgQn8DPxERcXyf7v6U3479hqvVlVdav4K7s7vZkaSA5brcxMTE0Lz55cN7Hh4eJCYmAtClSxc+//zzvE0nIiKSC7vO7OL1za8D8HyT56lWsprJicQMuS43QUFBnD17FoCKFSuybt06AA4fPkwun+QgIiKSZ5LTkhnx6wjSbencE3wPHat3NDuSmCTX5ebee+/lm2++AaBHjx4MHTqU++67j44dO/LII4/keUAREZGcmLJhyuWvfXsG8FLzl/S172Is19+Weuedd7DZbAD079+fUqVKsWbNGh5++GGee+65PA8oIiJyM0sPLWXJgSVYLVamtpqKn7uf2ZHERLl+KnhRp6eCi4g4lqOJR3ni2ydISkuiT/0+9G/Q3+xIkg9ys//O0ZGbP/74I8crr1evXo6nFRERuR1ptjRG/DqCpLQkwgLCeK6eziBIDstNgwYNsFgsN71g2GKxkJGRkSfBREREbmb21tnsOL0Db1dvpraairP1lu5NKw4mR/8VHD58OL9ziIiI5Mpvf/3G+zvfB2BC8wl62rfY5ajcVKpUKb9ziIiI5FhsUiwvrH4BgI7VO3JfpftMTiSFiR6cKSIiRUqaLY3nf3me8ynnqelfk+FNhpsdSQoZlRsRESlSZm2ZxbZT2/B28Wb63dNxdXI1O5IUMio3IiJSZKyMWcmHf34IwMQWEwn2DjY3kBRKKjciIlIkHLtwjBd/fxGAZ2o+Q5tKbUxOJIVVrstNt27d+PXXX/Mji4iISJbSMtIYtmoYiamJ1C1dl8hGkWZHkkIs1+UmPj6eiIgIqlatyuTJkzl27Fh+5BIREbGbvnk6O8/sxMfVh9dav4aLk4vZkaQQy3W5WbJkCceOHaNv374sXLiQkJAQ2rVrx5dffklaWlp+ZBQRkWJs2ZFlfLr7UwAmt5ys+9nITd3SNTdlypQhMjKS7du3s379eqpUqUKXLl0oV64cQ4cOZf/+/XmdU0REiqFD8YcY8/sYAHrU6UHr4NYmJ5Ki4LYuKD5x4gTLli1j2bJlODk58eCDD7Jjxw5q1arFjBkz8iqjiIgUQ0lpSQxZOYSktCQaBzZmYNhAsyNJEZHrcpOWlsZXX33Fv/71LypVqsSiRYsYMmQIx48f56OPPmL58uV88cUXvPTSS/mRV0REigHDMBjz+xgOxx8mwDOAV1u/iotV19lIzuT6CWNly5bFZrPRqVMnNmzYQIMGDa6b5p577sHPzy8P4omISHH04Z8fsuzIMpytzrx+9+uU9ihtdiQpQnJdbmbMmMETTzyBu7t7ttP4+fnpYZsiInJL1p1Yx8wtMwEY1XQU9cvUNzeQFDm5LjddunTJjxwiIiKcuHCC4b8Mx2bY+Pcd/+aJak+YHUmKIN2hWERECoWUjBQiV0VyLuUcNf1rMvrO0VgsFrNjSRGkciMiIoXClPVT2HlmJ75uvsy4Zwbuztlf/iByIyo3IiJiukX7FvHV/q+wYOGVVq9Q3qu82ZGkCFO5ERERU22O28zkdZMBGBg2kOblm5ucSIq6QlFuZs+eTUhICO7u7oSHh7Nhw4YczbdgwQIsFgsdOnTI34AiIpIvjl84TuSqSNKNdNqGtKVX3V5mRxIHYHq5WbhwIZGRkYwbN44tW7ZQv3592rZty8mTJ284X3R0NMOGDaNVq1YFlFRERPJScloyg1YM4uyls9T0r8lLzV/SBcSSJ0wvN6+//jq9e/emR48e1KpVi7lz5+Lp6cm8efOynScjI4POnTszYcIEKleuXIBpRUQkLxiGwejfR7P33F783f1545438HTxNDuWOAhTy01qaiqbN28mIiLCPsxqtRIREcHatWuzne+ll14iICCAnj17FkRMERHJY//3x//Z70A84+4ZlPUqa3YkcSC5volfXjp9+jQZGRkEBgZmGh4YGMiePXuynGf16tW8//77bNu2LUfrSElJISUlxf4+ISHhlvOKiMjtizoSxextswEYHT6ahoENTU4kjsb001K5kZiYSJcuXXj33XcpXTpnzxmZMmUKvr6+9ldwcHA+pxQRkezsO7ePUatHAfB0jad5rNpjJicSR2TqkZvSpUvj5OREXFxcpuFxcXEEBQVdN/3BgweJjo6mffv29mE2mw0AZ2dn9u7dyx133JFpnlGjRhEZGWl/n5CQoIIjImKCc5fOMWjFIC6mXyS8bDjPN3ne7EjioEwtN66urjRq1IioqCj717ltNhtRUVEMGDDguulr1KjBjh07Mg0bPXo0iYmJvPHGG1mWFjc3N9zc3PIlv4iI5ExqRiqDVw7m2IVjVPCqwGt3vYaz1dRdkDgw0//LioyMpFu3bjRu3JimTZsyc+ZMkpKS6NGjBwBdu3alfPnyTJkyBXd3d+rUqZNpfj8/P4DrhouISOFgGAZjfh/D1pNb8XbxZnab2fi5+5kdSxyY6eWmY8eOnDp1irFjxxIbG0uDBg348ccf7RcZx8TEYLUWqUuDRETkKnO3z2Xp4aU4W5x5/Z7XqeynW3hI/rIYhmGYHaIgJSQk4OvrS3x8PD4+PmbHERFxaN8d+o5Rv12+gHh8s/G6gFhuWW723zokIiIi+WJL3BbG/j4WgB51eqjYSIFRuRERkTx3NOEog1cOJs2WRkTFCIY0HGJ2JClGVG5ERCRPxafE0y+qH+dTzlO7VG0mt5qM1aLdjRQc/dcmIiJ5Ji0jjchVkUQnRBNUIog3730TD2cPs2NJMaNyIyIiecJm2Bj9+2g2xG7A09mTt+59izKeZcyOJcWQyo2IiOSJmZtn2r/yPeOeGVT3r252JCmmVG5EROS2fbr7Uz748wMAXmrxEs3LNTc5kRRnKjciInJbfo7+mWkbpgEwuOFg2t/R/iZziOQvlRsREbllm+M2M+q3URgYdKzekZ51epodSUTlRkREbs3B8wcZuGIgqbZU7g2+l1FNR2GxWMyOJaJyIyIiuReXFEef5X1ITE2kQZkGTLtrGk5WJ7NjiQAqNyIikkvxKfH0jepLbFIsob6hvHnvm7g7u5sdS8RO5UZERHIsOS2Z/lH92X9uP2U8yjAnYg5+7n5mxxLJROVGRERyJDUjlaGrhrL91HZ8XH34v/v+j/Je5c2OJXIdlRsREbmpDFsGo34bxZrja/Bw9uDtiLepWrKq2bFEsqRyIyIiN2QYBhPXTeTnIz/jbHVm5j0zqV+mvtmxRLKlciMiIjc0c8tMvtr/FVaLlWmtpunuw1LoqdyIiEi25u2cx7yd8wAY12wc94fcb3IikZtTuRERkSwt2reIGZtnABDZKJJHqz5qciKRnFG5ERGR6/zvwP+YuHYiAM/WeZYedXqYnEgk51RuREQkkx8O/8DYNWMxMHi6xtMMaTjE7EgiuaJyIyIidsuPLGfUb6OwGTYer/Y4I5uO1POipMhRuREREQB+OfoLz//6PBlGBg/f8TBj7hyjYiNFksqNiIiw5tgahq4aSrotnXYh7Xip+UtYLdpFSNGk/3JFRIq5jbEbGbxyMGm2NNpUbMOkVpP0hG8p0lRuRESKsc1xm+kf1Z9LGZe4q8JdvHrXq7hYXcyOJXJbVG5ERIqpjbEb6bu8LxfTL9KsbDNev/t1XJxUbKToU7kRESmG1p9YT7/l/biYfpHm5Zoz695ZuDm5mR1LJE+o3IiIFDNrjq+xn4pqWb4ls+6dhbuzu9mxRPKMs9kBRESk4Px+7HcGrRhEqi2VuyrcxYy7Z+Dq5Gp2LJE8pSM3IiLFxK9//WovNncH361iIw5L5UZEpBj45egvDFk5hFRbKm0qtuH11q+r2IjDUrkREXFwP0X/xJBVQ0izpXFfpft4tfWr+laUODSVGxERB7Z4/2KG/zrcfufhV+56RfexEYenC4pFRBzUJ7s+YdrGaQA8VvUxxtw5RncelmJB5UZExMEYhsHcP+by9ra3AehWqxv/bfxfPQRTig2VGxERB2IYBq9teo35u+YD0L9Bf56r95yKjRQrKjciIg4iw5bBxHUT+Wr/VwCMaDKCZ2o9Y3IqkYKnciMi4gBSM1J5YfUL/BT9E1aLlfHNxvNI1UfMjiViCpUbEZEi7kLqBYasHML62PU4W52Z2moqbUPamh1LxDQqNyIiRdip5FP0Xd6Xvef24unsyYx7ZtC8XHOzY4mYSuVGRKSIio6Pps/yPhy7cAx/d3/mRMyhVqlaZscSMZ3KjYhIEfTHqT8YEDWAcynnqOhdkbkRcwn2CTY7lkihoDsUi4gUMb/+9Su9fu7FuZRz1C5Vm/nt5qvYiFxF5UZEpAhZvH8xg1YM4mL6RVqUa8G8tvMo5VHK7FgihYpOS4mIFAE2w8abW9/kvR3vAdC+cnsmtJig50SJZEHlRkSkkLuUfonRv4/mp+ifAPhPvf/Qv0F/rBYdfBfJisqNiEghdubiGQatHMQfp/7A2erM+Gbj+XeVf5sdS6RQU7kRESmkDp0/RL+ofhy7cAxvV2/euOcNmgQ1MTuWSKGnciMiUgitP7GeoSuHkpiWSAWvCrwd8TahvqFmxxIpElRuREQKmS/3fcmkdZNIN9JpUKYBb9z7Bv7u/mbHEikyVG5ERAqJNFsa0zZMY+HehQC0C2nHxJYTcXNyMzmZSNGiciMiUgicvXSW/676L5viNgEwMGwgvev2xmKxmJxMpOhRuRERMdnes3sZtGIQx5OO4+nsydRWU7mn4j1mxxIpslRuRERMtOzIMl5c/SIX0y8S7B3MrHtmUaVkFbNjiRRpKjciIiawGTbmbJ/D3O1zAbiz7J281vo1fN18TU4mUvQVittbzp49m5CQENzd3QkPD2fDhg3ZTvvuu+/SqlUrSpYsScmSJYmIiLjh9CIihU18Sjz9o/rbi80zNZ9hTsQcFRuRPGJ6uVm4cCGRkZGMGzeOLVu2UL9+fdq2bcvJkyeznH7VqlV06tSJlStXsnbtWoKDg7n//vs5duxYAScXEcm9XWd20fG7jqw+tho3JzcmtpjIiKYjcLbqQLpIXrEYhmGYGSA8PJwmTZrw1ltvAWCz2QgODmbgwIGMHDnypvNnZGRQsmRJ3nrrLbp27XrT6RMSEvD19SU+Ph4fH5/bzi8iklNf7/+aSesmkWpLpYJXBWbcM4Ma/jXMjiVSJORm/23qkZvU1FQ2b95MRESEfZjVaiUiIoK1a9fmaBnJycmkpaXh768bXIlI4XQp/RJjfx/LuDXjSLWl0rpCaxb8a4GKjUg+MfU46OnTp8nIyCAwMDDT8MDAQPbs2ZOjZYwYMYJy5cplKkhXS0lJISUlxf4+ISHh1gOLiOTSX4l/Ebkqkt1nd2O1WBnQYAA96/bUE71F8lGR/l/X1KlTWbBgAYsXL8bd3T3LaaZMmYKvr6/9FRwcXMApRaS4Wn5kOU9+9yS7z+6mpFtJ5kbMpXe93io2IvnM1P+FlS5dGicnJ+Li4jINj4uLIygo6Ibzvvbaa0ydOpWff/6ZevXqZTvdqFGjiI+Pt7+OHj2aJ9lFRLKTkpHCy+teZuiqoSSmJlKvTD2+aP8Fzco1MzuaSLFgarlxdXWlUaNGREVF2YfZbDaioqJo1iz7vwReeeUVJk6cyI8//kjjxo1vuA43Nzd8fHwyvURE8suh+EM8/f3T9udDPVvnWT584EOCStz4H2wikndM/+5hZGQk3bp1o3HjxjRt2pSZM2eSlJREjx49AOjatSvly5dnypQpAEybNo2xY8fy2WefERISQmxsLABeXl54eXmZ9jlERP534H9MWj+Ji+kX8Xf3Z3LLybQo38LsWCLFjunlpmPHjpw6dYqxY8cSGxtLgwYN+PHHH+0XGcfExGC1/nOAac6cOaSmpvL4449nWs64ceMYP358QUYXEQEgKS2JSesm8e2hbwEILxvOlJZTKONZxuRkIsWT6fe5KWi6z42I5KVtJ7fxwuoXOJp4FKvFSv8G/elZpydOViezo4k4lNzsv00/ciMiUhSl2dL4v+3/x7s73sVm2AgqEcS0VtNoGNjQ7GgixZ7KjYhILh2OP8wLv73AzjM7AXio8kO8EP4CPq46GixSGKjciIjkkGEYfLH3C17b9BqXMi7h4+rDmDvH8EDoA2ZHE5GrqNyIiOTAqeRTjF0zltXHVgNwZ9k7ebnFywSWCLzJnCJS0FRuRERuwDAMvjn4DdM2TiMxNRFXqytDGw3l6ZpP607DIoWUyo2ISDZik2KZsHaC/WhN7VK1ebnFy1QpWcXkZCJyIyo3IiLXMAyDr/d/zWubXuNC2gVcrC70a9CP7rW742zVX5sihZ3+VyoicpXjF44zfs141p5YC0C9MvWY2Hwilf0qm5xMRHJK5UZEBMiwZfDFvi+YuXkmyenJuDm5MTBsIM/UfEY35BMpYlRuRKTY23N2DxPWTLDft6ZhQEMmNJ9AiG+IucFE5Jao3IhIsZWclszsbbP5dPenZBgZeLl4MajhIDpW76hvQokUYSo3IlIsrYxZyeQNk4lNigWgbUhbhjcZToBngMnJROR2qdyISLESmxTL1A1TiYqJAqC8V3lG3zmaluVbmpxMRPKKyo2IFAspGSnM/3M+7+54l4vpF3G2ONOtdjeeq/8cHs4eZscTkTykciMiDs0wDFYeXcmrG1/lrwt/AZcvGB5952iqlqxqcjoRyQ8qNyLisA6dP8S0jdNYc3wNAAGeAUQ2iuTB0AexWCwmpxOR/KJyIyIOJzE1kTnb5/D57s9JN9JxsbrQvXZ3etXthaeLp9nxRCSfqdyIiMNIs6Xx1b6vmLN9DmcvnQXg7uC7Gd54OME+wSanE5GConIjIkWeYRisiFnBzC0ziU6IBiDEJ4SRTUfSonwLc8OJSIFTuRGRIm3byW28vvl1tp7cCoC/uz996/flsWqP4WJ1MTmdiJhB5UZEiqSYhBhmbpnJsiPLAHB3cqdr7a70qN0DL1cvk9OJiJlUbkSkSIlNiuWdP95h8f7FpBvpWC1WOlTpQL/6/QgsEWh2PBEpBFRuRKRIOH3xNO/teI9FexeRaksFoGX5lgxtNJRqJauZnE5EChOVGxEp1M5dOscHf37A57s/51LGJQAaBTZiYNhAGgU2MjmdiBRGKjciUijFp8Tz8a6P+XjXxySnJwNQr0w9BjQYwJ1l79RN+EQkWyo3IlKonL54mo93fczCvQtJSksCoKZ/TQaEDaBV+VYqNSJyUyo3IlIonLhwgg/+/ICv939NSkYKAFVLVqVf/X60qdhGpUZEckzlRkRMdSThCO/veJ9vD31Lui0dgHql69G7Xm9aV2itUiMiuaZyIyKm2HFqBx/t+ohlR5ZhM2wANA1qSu96vQkPClepEZFbpnIjIgUmw5bBqqOrmL9rPltObrEPv6vCXfSu25sGAQ1MyyYijkPlRkTyXXJaMksOLOGT3Z9wNPEoAM5WZx4MfZCutbpS3b+6yQlFxJGo3IhIvjl+4Thf7P2CRfsWkZCaAICPqw8dq3fkqRpPEeAZYHJCEXFEKjcikqdsho01x9ewcM9CfvnrFwwMAIK9g+lSqwv/vuPfeLp4mpxSRByZyo2I5In4lHiWHFjCwr0L7aeeAO4seydP1XiKuyvcjZPVycSEIlJcqNyIyC0zDIMdp3fwxd4v+DH6R/v9abxdvPl3lX/zZPUnCfUNNTmliBQ3KjcikmunL57m+0Pfs3j/Yg7GH7QPr+Ffg6eqP0W70HY69SQiplG5EZEcSbels/rYahbvX8yvf/1KunH5hnvuTu7cV+k+nqz+JPXL1Nf9aUTEdCo3InJD+87t47tD3/HtwW85ffG0fXi90vV4pOojtA1pi7ert4kJRUQyU7kRkescu3CMHw7/wPeHvufA+QP24f7u/rSv3J4OVTpQpWQVExOKiGRP5UZEADh76Sw/R//M0sNL2Xpyq324i9WFVuVb8XCVh7mrwl24WF1MTCkicnMqNyLF2NlLZ1kRs4LlR5az7sQ6MowMACxYaFq2KQ+FPkSbSm3wcfUxOamISM6p3IgUM3FJcSyPWU5UTBSb4zbbH1oJULtUbR4MfZAHQh/Q3YNFpMhSuREpBo4kHLl8hCZmOX+c+iPTuFqlahFRMYL7Kt1HiG+IOQFFRPKQyo2IA0rLSGNT3CZ+/etXfv3rV2ISY+zjLFhoENCAiIoRtKnUhvJe5U1MKiKS91RuRBzEqeRT/HbsN37961fWHl9LcnqyfZyz1ZnGgY2JqBjBvRXvpYxnGROTiojkL5UbkSIqOS2ZrSe3su7EOtadWMees3syjS/tUZpW5VtxV4W7aFauGSVcSpiUVESkYKnciBQR6bZ0/jzzJ+uOXy4z209tJ82WlmmaOqXqcFfwXdxV4S5q+tfEarGalFZExDwqNyKFVFpGGn+e+ZMtJ7ewJW4Lm+M2cyHtQqZpypYoy51l7+TOsnfStGxTSnuUNimtiEjhoXIjUkgkpSWx/eR2Np/czNaTW9lxageXMi5lmsbH1YfwsuH2QhPsHaxnOYmIXEPlRsQENsNGdHw0O8/sZMepHWw/tZ295/ZmuucMQEm3koQFhNEwsCGNAxtTw78GTlYnk1KLiBQNKjciBSAuKY6dp3ey4/QOdp7eyZ9n/rzuFBNAea/yNAxoSFhgGI0CGhHqG6ojMyIiuaRyI5KH0m3pxCTEsOfsHvae23v5dXZvpqdpX+Hu5E6tUrWoU7oOdUrXISwgjKASQSakFhFxLCo3Irfo7KWzHDp/iH3n9rHv3D72nN3DgfMHSMlIuW5aJ4sTVfyqUKd0HeqWrkud0nW4w+8OnK36n6CISF7T36wiN2AzbBy/cJxD8Yc4HH+Yw/GH7b+fTzmf5Twezh5UK1mN6iWrU93/8quqX1U8XTwLNryISDGlciPFXrotndikWP668BdHE4/yV+Lln0cTjxIdH33dN5ausGChnFc5qvhVuVxi/i4zwd7Bur+MiIiJVG7E4aXZ0jiVfIrYpFjikuOITYrl2IVj9iJz/MJx0o30bOd3sbpQyacSlX0rU9mvMpV9KxPqG0oln0p4OHsU4CcREZGcULmRIsswDBJSEzhz8QxnLp3h9MXTnEw+manExCXFceriKQyMGy7L1epKee/yBHsHU8GrAsHewQR7BxPqG0p5r/L6+rWIFA02G9jSwci4/NOW/s+wTMMz/n5dPfzqcX//zLScq6a52fK9y0FYZ9M2Q6EoN7Nnz+bVV18lNjaW+vXr8+abb9K0adNsp1+0aBFjxowhOjqaqlWrMm3aNB588MECTCz5IcOWQWJqIvGp8cSn/P1Kjef8pfOcvniaM5fOZCoyZy+dJd2W/RGXqzlbnQn0DCSoRBBBJYIoV6Lc5SLjfbnIBHgG6FSSiNkM45qd55Wdq+2a91d2vLarhl017XXzXzvtjeZPz2J9N1p2VtlucX77uOzmz+73q8rHTf4hV2CCw4t3uVm4cCGRkZHMnTuX8PBwZs6cSdu2bdm7dy8BAQHXTb9mzRo6derElClT+Ne//sVnn31Ghw4d2LJlC3Xq1DHhE4hhGKRkpJCUlkRyWjJJ6UkkpSX98/7v35PS/3mfmJpoLy/xKfEkpCSQmJZ4S+v3dvWmlHspSnmUooxHGXuBCfK8/DOwRCD+7v4qL8WNYVx+YVzeidlf17zHuGZYVuOv7ASNyzuTK+Ou7CCNjH92zPZ5M66Z79phV8133bCr3xvZzGe7Zp3X5spqvqyy3mC+6+bNalm2v3fGWS0rq/my2Elf+VlYdswOyQJW579fTn+/nMHilLNh9uFXj3MGi/Wa5f79s2SouZ/WMAxT/2sKDw+nSZMmvPXWWwDYbDaCg4MZOHAgI0eOvG76jh07kpSUxHfffWcfduedd9KgQQPmzp170/UlJCTg6+tLfHw8Pj4+efY5Ui4l8FfcrsunPwwAA8MwuPr/sF3znsvFAPt0tst/F18zr326q4cbV8b9/f8NGzbDIN3IIOPvV7otgwxbxt/D0v/+abv8u+3y7+m2dPs86UYGqbY0UmyppGZc/ply5b0tjZSMtMzvrxqegS3L7XIrSji54+tcAh9nT3ycPfF1LoG/izelXLzwd/HG38ULfxcvSjlf/t3V4oR9B/X3T8s17//ZwXHdtHDtdFn95Lrhlis7pSznIYfLzXo9luyWm4NcWX/uKztJAwvZ7cTJ/N7++Wx/Z8pmp3/Vsv+ZPvPyLdktO8tykXnZlhsu28gmi+3yfwPiUIyrd64W6+XfLZdfhtWaeadssf6zM/77p3FlR2wfbs3l+MzLu/zTelWGLMZfNY1xdbYbjr9+3Vismcfbf14pFlYMyzXl5drtUcA8XJzy9Cakudl/m3rkJjU1lc2bNzNq1Cj7MKvVSkREBGvXrs1ynrVr1xIZGZlpWNu2bVmyZEmW06ekpJCS8s99RxISEm4/eBa27/2Gntum5cuyixIPmw1Pm4GXcflnCZuNEoaBp81m/72EzYa3zcDXloFvhg0fmw1fmw3fDBveNhsuZn8IKdZshgUbl1/GVa8MrNiwYrP/bsHAav/dZvwz7nKFtNp/t0+Taf6/xxnXjzOuWc914wxLNsu2XpXtmnGG9apsWc939bh/smX1ua/eHtd8bsNKxlXLzWqbXP26kivLcVf9blBcjrxm/P0q+na91BZPV3Nqhqnl5vTp02RkZBAYGJhpeGBgIHv27MlyntjY2Cynj42NzXL6KVOmMGHChLwJfANOFifcbJf/pXj5X4yWv/8K4O9hYDHI/J6r3huZ3/P3vFlNk938VsAJcDIMnI0rv4MTf7/PNAycDeOf939P52KAmwGuNnA1wMUwcDP4e/jl8VfGuRoGLoYFVwM8bAbufy/XMK7+FFdYuby2qz9d5mnigfN/Dzeu+vn3cZhMv3Pd8JuNz/y7fdnG5eFX78hutN4rfypZL/dm4//JZjMsWc6f49w5yoZ9J3Tls17ZmV0ed2Xn9k+Wq8fb+Gdnl+mn8c/4rOe13GT8Vcs2rlk2N17238eA7L/bpzFunPtKEbn5svWoCxFHYPo1N/lt1KhRmY70JCQkEBwcnOfraVj3KX6t8USeL1dERKQo8nAx71umppab0qVL4+TkRFxcXKbhcXFxBAVl/YydoKCgXE3v5uaGm5tb3gS+AYvFYtrhNxEREfmHqScxXV1dadSoEVFRUfZhNpuNqKgomjVrluU8zZo1yzQ9wLJly7KdXkRERIoX0w81REZG0q1bNxo3bkzTpk2ZOXMmSUlJ9OjRA4CuXbtSvnx5pkyZAsDgwYNp3bo106dP56GHHmLBggVs2rSJd955x8yPISIiIoWE6eWmY8eOnDp1irFjxxIbG0uDBg348ccf7RcNx8TEYLX+c4CpefPmfPbZZ4wePZoXXniBqlWrsmTJEt3jRkRERIBCcJ+bgpZf97kRERGR/JOb/XdxuXGAiIiIFBMqNyIiIuJQVG5ERETEoajciIiIiENRuRERERGHonIjIiIiDkXlRkRERByKyo2IiIg4FJUbERERcSimP36hoF25IXNCQoLJSURERCSnruy3c/JghWJXbhITEwEIDg42OYmIiIjkVmJiIr6+vjecptg9W8pms3H8+HG8vb2xWCx5uuyEhASCg4M5evSonluVj7SdC4a2c8HQdi442tYFI7+2s2EYJCYmUq5cuUwP1M5KsTtyY7VaqVChQr6uw8fHR//DKQDazgVD27lgaDsXHG3rgpEf2/lmR2yu0AXFIiIi4lBUbkRERMShqNzkITc3N8aNG4ebm5vZURyatnPB0HYuGNrOBUfbumAUhu1c7C4oFhEREcemIzciIiLiUFRuRERExKGo3IiIiIhDUbkRERERh6Jyk0dmz55NSEgI7u7uhIeHs2HDBrMjFWlTpkyhSZMmeHt7ExAQQIcOHdi7d2+maS5dukT//v0pVaoUXl5ePPbYY8TFxZmU2DFMnToVi8XCkCFD7MO0nfPOsWPHeOaZZyhVqhQeHh7UrVuXTZs22ccbhsHYsWMpW7YsHh4eREREsH//fhMTFz0ZGRmMGTOG0NBQPDw8uOOOO5g4cWKm5xFpO+fer7/+Svv27SlXrhwWi4UlS5ZkGp+TbXr27Fk6d+6Mj48Pfn5+9OzZkwsXLuRPYENu24IFCwxXV1dj3rx5xp9//mn07t3b8PPzM+Li4syOVmS1bdvW+OCDD4ydO3ca27ZtMx588EGjYsWKxoULF+zT9OnTxwgODjaioqKMTZs2GXfeeafRvHlzE1MXbRs2bDBCQkKMevXqGYMHD7YP13bOG2fPnjUqVapkdO/e3Vi/fr1x6NAh46effjIOHDhgn2bq1KmGr6+vsWTJEmP79u3Gww8/bISGhhoXL140MXnRMmnSJKNUqVLGd999Zxw+fNhYtGiR4eXlZbzxxhv2abSdc2/p0qXGiy++aHz99dcGYCxevDjT+Jxs0wceeMCoX7++sW7dOuO3334zqlSpYnTq1Clf8qrc5IGmTZsa/fv3t7/PyMgwypUrZ0yZMsXEVI7l5MmTBmD88ssvhmEYxvnz5w0XFxdj0aJF9ml2795tAMbatWvNillkJSYmGlWrVjWWLVtmtG7d2l5utJ3zzogRI4yWLVtmO95msxlBQUHGq6++ah92/vx5w83Nzfj8888LIqJDeOihh4xnn30207BHH33U6Ny5s2EY2s554dpyk5NtumvXLgMwNm7caJ/mhx9+MCwWi3Hs2LE8z6jTUrcpNTWVzZs3ExERYR9mtVqJiIhg7dq1JiZzLPHx8QD4+/sDsHnzZtLS0jJt9xo1alCxYkVt91vQv39/HnrooUzbE7Sd89I333xD48aNeeKJJwgICCAsLIx3333XPv7w4cPExsZm2ta+vr6Eh4drW+dC8+bNiYqKYt++fQBs376d1atX065dO0DbOT/kZJuuXbsWPz8/GjdubJ8mIiICq9XK+vXr8zxTsXtwZl47ffo0GRkZBAYGZhoeGBjInj17TErlWGw2G0OGDKFFixbUqVMHgNjYWFxdXfHz88s0bWBgILGxsSakLLoWLFjAli1b2Lhx43XjtJ3zzqFDh5gzZw6RkZG88MILbNy4kUGDBuHq6kq3bt3s2zOrv0u0rXNu5MiRJCQkUKNGDZycnMjIyGDSpEl07twZQNs5H+Rkm8bGxhIQEJBpvLOzM/7+/vmy3VVupNDr378/O3fuZPXq1WZHcThHjx5l8ODBLFu2DHd3d7PjODSbzUbjxo2ZPHkyAGFhYezcuZO5c+fSrVs3k9M5ji+++IJPP/2Uzz77jNq1a7Nt2zaGDBlCuXLltJ2LEZ2Wuk2lS5fGycnpum+PxMXFERQUZFIqxzFgwAC+++47Vq5cSYUKFezDg4KCSE1N5fz585mm13bPnc2bN3Py5EkaNmyIs7Mzzs7O/PLLL8yaNQtnZ2cCAwO1nfNI2bJlqVWrVqZhNWvWJCYmBsC+PfV3ye15/vnnGTlyJE899RR169alS5cuDB06lClTpgDazvkhJ9s0KCiIkydPZhqfnp7O2bNn82W7q9zcJldXVxo1akRUVJR9mM1mIyoqimbNmpmYrGgzDIMBAwawePFiVqxYQWhoaKbxjRo1wsXFJdN237t3LzExMdruudCmTRt27NjBtm3b7K/GjRvTuXNn++/aznmjRYsW193OYN++fVSqVAmA0NBQgoKCMm3rhIQE1q9fr22dC8nJyVitmXdtTk5O2Gw2QNs5P+RkmzZr1ozz58+zefNm+zQrVqzAZrMRHh6e96Hy/BLlYmjBggWGm5ub8eGHHxq7du0y/vOf/xh+fn5GbGys2dGKrL59+xq+vr7GqlWrjBMnTthfycnJ9mn69OljVKxY0VixYoWxadMmo1mzZkazZs1MTO0Yrv62lGFoO+eVDRs2GM7OzsakSZOM/fv3G59++qnh6elpfPLJJ/Zppk6davj5+Rn/+9//jD/++MP497//ra8o51K3bt2M8uXL278K/vXXXxulS5c2hg8fbp9G2zn3EhMTja1btxpbt241AOP11183tm7dahw5csQwjJxt0wceeMAICwsz1q9fb6xevdqoWrWqvgpe2L355ptGxYoVDVdXV6Np06bGunXrzI5UpAFZvj744AP7NBcvXjT69etnlCxZ0vD09DQeeeQR48SJE+aFdhDXlhtt57zz7bffGnXq1DHc3NyMGjVqGO+8806m8TabzRgzZowRGBhouLm5GW3atDH27t1rUtqiKSEhwRg8eLBRsWJFw93d3ahcubLx4osvGikpKfZptJ1zb+XKlVn+ndytWzfDMHK2Tc+cOWN06tTJ8PLyMnx8fIwePXoYiYmJ+ZLXYhhX3bZRREREpIjTNTciIiLiUFRuRERExKGo3IiIiIhDUbkRERERh6JyIyIiIg5F5UZEREQcisqNiIiIOBSVGxEpEqKjo7FYLGzbti3H83Tv3p0OHTrc1npXrVqFxWK57vlaIlJ4qdyIiIiIQ1G5EREREYeiciMiBe7UqVMEBQUxefJk+7A1a9bg6uqa6cnCN5KRkUHPnj0JDQ3Fw8OD6tWr88Ybb2Q57YQJEyhTpgw+Pj706dOH1NRU+zibzcaUKVPsy6lfvz5ffvnl7X1AETGVs9kBRKT4KVOmDPPmzaNDhw7cf//9VK9enS5dujBgwADatGmTo2XYbDYqVKjAokWLKFWqFGvWrOE///kPZcuW5cknn7RPFxUVhbu7O6tWrSI6OpoePXpQqlQpJk2aBMCUKVP45JNPmDt3LlWrVuXXX3/lmWeeoUyZMrRu3TpfPr+I5C89OFNETNO/f3+WL19O48aN2bFjBxs3bsTNzS3LaaOjowkNDWXr1q00aNAgy2kGDBhAbGys/chL9+7d+fbbbzl69Cienp4AzJ07l+eff574+HjS0tLw9/dn+fLlNGvWzL6cXr16kZyczGeffcaqVau45557OHfuHH5+fnn6+UUkf+jIjYiY5rXXXqNOnTosWrSIzZs3Z1tssjN79mzmzZtHTEwMFy9eJDU19briU79+fXuxAWjWrBkXLlzg6NGjXLhwgeTkZO67775M86SmphIWFnbLn0tEzKVyIyKmOXjwIMePH8dmsxEdHU3dunVzPO+CBQsYNmwY06dPp1mzZnh7e/Pqq6+yfv36HC/jwoULAHz//feUL18+07jcFi0RKTxUbkTEFKmpqTzzzDN07NiR6tWr06tXL3bs2EFAQECO5v/9999p3rw5/fr1sw87ePDgddNt376dixcv4uHhAcC6devw8vIiODgYf39/3NzciImJ0fU1Ig5E5UZETPHiiy8SHx/PrFmz8PLyYunSpTz77LN89913OZq/atWqzJ8/n59++onQ0FA+/vhjNm7cSGhoaKbpUlNT6dmzJ6NHjyY6Oppx48YxYMAArFYr3t7eDBs2jKFDh2Kz2WjZsiXx8fH8/vvv+Pj40K1bt/z46CKSz1RuRKTArVq1ipkzZ7Jy5Up8fHwA+Pjjj6lfvz5z5syhb9++N13Gc889x9atW+nYsSMWi4VOnTrRr18/fvjhh0zTtWnThqpVq3LXXXeRkpJCp06dGD9+vH38xIkTKVOmDFOmTOHQoUP4+fnRsGFDXnjhhTz9zCJScPRtKREREXEouomfiIiIOBSVGxEREXEoKjciIiLiUFRuRERExKGo3IiIiIhDUbkRERERh6JyIyIiIg5F5UZEREQcisqNiIiIOBSVGxEREXEoKjciIiLiUFRuRERExKH8P/QqVzUL6T0oAAAAAElFTkSuQmCC\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 11
  },
  {
   "metadata": {},
   "cell_type": "code",
   "outputs": [],
   "execution_count": null,
   "source": "",
   "id": "cceb47f9baa9c412"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
